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How Many Common Tangents Can Be Drawn to Two Circles, Touching Eachother Externally? - Geometry Mathematics 2

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प्रश्न

How many common tangents can be drawn to two circles, touching each
other externally?

विकल्प

  • One

  • Two

  • Three

  •  Four

MCQ

उत्तर

Three

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2018-2019 (March) Balbharati Model Question Paper Set 1

वीडियो ट्यूटोरियलVIEW ALL [4]

संबंधित प्रश्न

A circle can have ______ parallel tangents at the most.


In the given figure O is the centre of the circle and AB is a tangent at B. If AB = 15 cm and AC = 7.5 cm. Calculate the radius of a circle.


In the given figure O is the centre of the circle. Tangents A and B meet at C. If ∠ACO = 30°, find

1) ∠BCO

2) ∠AOB

3) ∠APB


In Figure 2, XP and XQ are two tangents to the circle with centre O, drawn from an external point X. ARB is another tangent, touching the circle at R. Prove that XA + AR = XB + BR ?


Draw Δ ABC such that, AB = 8 cm, BC = 6 cm and ∠ B = 90°. Draw seg BD
perpendicular to hypotenuse AC. Draw a circle passing through points
B, D, A. Show that line CB is a tangent of the circle.


If Δ ABC is isosceles with AB = AC and C (O, r) is the incircle of the ΔABC touching BC at L,prove that L bisects BC.


In following fig., PT is a tangent to the circle at T and PAB is a secant to the same circle. If PB = 9cm and AB = Scm, find PT. 


Calculate the length of direct common tangent to two circles of radii 3cm and Bern with their centres 13cm apart.


In following fig., ABC is a right- angled triangle at A with sides AB = 5 cm and BC = 13 cm . A circle with centre O has been inscribed in the triangle ABC. Calculate the radius of the incircle. 


Find the area of sector whose central angle and radius are 60o and 21 cm respectively.
`(pi = 22/7)`


In the given figure, O is the centre of the circle. Tangents at A and B meet at C. If ∠ACO = 30°,
find: (i) ∠ BCO (ii) ∠ AOB (iii) ∠ APB


At one end A of a diameter AB of a circle of radius 5 cm, tangent XAY is drawn to the circle. The length of the chord CD parallel to XY and at a distance 8 cm from A is ______ 


In figure, if PQR is the tangent to a circle at Q whose centre is O, AB is a chord parallel to PR and ∠BQR = 70°, then ∠AQB is equal to ______.

 


The tangents drawn at the extremities of the diameter of a circle are ______.


In the above figure, seg AB and seg AD are tangent segments drawn to a circle with centre C from exterior point A, then prove that: ∠A = `1/2` [m(arc BYD) - m(arc BXD)]


In the given figure, XAY is a tangent to the circle centered at O. If ∠ABO = 40°, then find ∠BAY and ∠AOB.


Construct a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°.


ΔABC circumscribes a circle of radius r such that ∠B = 90°. If AB = 3 cm and BC = 4 cm, then find the value of r.


In the given figure O, is the centre of the circle. CE is a tangent to the circle at A. If ∠ABD = 26° find:

  1. ∠BDA
  2. ∠BAD
  3. ∠CAD
  4. ∠ODB


In the given diagram an isosceles ΔABC is inscribed in a circle with centre O. PQ is a tangent to the circle at C. OM is perpendicular to chord AC and ∠COM = 65°.


Find:

  1. ∠ABC
  2. ∠BAC
  3. ∠BCQ

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